The government doesn't use food or fuel to track inflation prices anymore. They were thrown out for being "volatile," price-wise - to make it all look rosy when it definitely was not. (One would, logically, think that if food and fuel prices are volatile, that would indicate that something is sour in the fridge, so to speak)
Again, the Fed uses a Fisher index on personal expenditures (the PCEPI), not any basket of goods. Their inflation numbers track everything that people buy for themselves.
Core inflation and CPI are different beasts, not used by the Fed.
http://en.wikipedia.org/wiki/Core_inflation